Skip to content

Mathematical Physics papers — page 128

math-phBrowse archive

Spectral Determinants of Almost Equilateral Quantum Graphs
Kirchoff's matrix tree theorem of 1847 connects the number of spanning trees of a graph to the spectral determinant of the discrete Laplacian [22]. Recently an analogue was obtained for quantum…
Jonathan Harrison, Tracy WeyandJun 25, 2024
Learn
Wakimoto construction for double loop algebras and ζ-function regularisation
The Feigin-Frenkel homomorphism underpinning the Wakimoto construction realises an affine Lie algebra at critical level in terms of the βγ-system of free fields. It was recently shown that…
Tommaso FranziniJun 25, 2024
Learn
On Explicit Solutions for Coupled Reaction-Diffusion and Burgers-Type Equations with Variable Coefficients Through a Riccati System
This work is concerned with the study of explicit solutions for generalized coupled reaction-diffusion and Burgers-type systems with variable coefficients. Including nonlinear models with variable…
José M. Escorcia, Erwin SuazoJun 25, 2024
Learn
Null Lagrangians in Schwarzian mechanics
In addition to standard and non-standard Lagrangians of classical mechanics, we consider, in this work, null Lagrangians that (i) identically satisfy the Euler-Lagrange equation and at the same time…
Pratik Majhi, Madan Mohan Panja, Pranab Sarkar et al.Jun 25, 2024
Learn
Inverse variational problem for equations in the Riccati chain
The nonstandard Lagrangian representations of Ricatti and Riccati-type equations that exist in the literature cannot be obtained using Helmholtz solution of the inverse problem. In this work we…
Pranab Sarkar, Pratik Majhi, Madan Mohan Panja et al.Jun 25, 2024
Learn
Affine subgroups of the affine Coxeter group with the same Coxeter number
Affine subgroups having the same Coxeter number with the affine Coxeter groups W(An), W(Dn), and W(En) are constructed by graph folding technique. The affine groups W(Cn) and W(Bn) are obtained from…
Nazife Ozdes Koca, Mehmet KocaJun 25, 2024
Learn
A representation-theoretical approach to higher-dimensional Lie-Hamilton systems: The symplectic Lie algebra sp(4,R)
A new procedure for the construction of higher-dimensional Lie-Hamilton systems is proposed. This method is based on techniques belonging to the representation theory of Lie algebras and their…
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. HerranzJun 25, 2024
Learn
On induced L-infinity action of diffeomorphisms on Cochains
One of the approaches to quantum gravity is to formulate it in terms of De Rham algebra, choose a triangulation of space-time, and replace differential forms by cochains (that form a finite…
Andrey Losev, Dmitrii Sheptunov, Xin GengJun 25, 2024
Learn
The Laplace Transform and Quantum Curves
A Laplace transform that maps the topological recursion (TR) wavefunction to its x-y swap dual is defined. This transform is then applied to the construction of quantum curves. General results…
Quinten WellerJun 24, 2024
Learn
Correlation functions for the Gross-Neveu model
This is a non-perturbative treatment of correlation functions for the weakly coupled massless Gross-Neveu model in a finite volume. The main result is that all correlation functions, treated as…
J. DimockJun 24, 2024
Learn
Eigenvectors in terms of reduced complements of minor determinants
Eigenvectors associated with non-degenerate eigenvalues are shown to correspond to columns of the adjugate of the characteristic matrix. Degenerate eigenvalues are associated with eigenvectors that…
M. I. KrivoruchenkoJun 24, 2024
Learn
Tumbling Downhill along a Given Curve
A cylinder will roll down an inclined plane in a straight line. A cone will roll around a circle on that plane and then will stop rolling. We ask the inverse question: For which curves drawn on the…
Jean-Pierre Eckmann, Yaroslav I. Sobolev, Tsvi TlustyJun 24, 2024
Learn
Breaking Consensus in Kinetic Opinion Formation Models on Graphons
In this work we propose and investigate a strategy to prevent consensus in kinetic models for opinion formation. We consider a large interacting agent system, and assume that agent interactions are…
Bertram Düring, Jonathan Franceschi, Marie-Therese Wolfram et al.Jun 24, 2024
Learn
On open book analogs of quantum graphs
Quantum graphs have become in this century a favorite playground for mathematicians, mathematical physicists, and chemists, due to their manifold applications as models of thin structures, as well as…
Setenay Akduman, Peter KuchmentJun 23, 2024
Learn
A study on the domain independence of the Laurent property, the irreducibility and the coprimeness in lattice equations
We study the Laurent property, the irreducibility and the coprimeness for lattice equations (partial difference equations), mainly focusing on how the choice of initial value problem (the choice of…
Takafumi MaseJun 23, 2024
Learn
Functional measures associated to operators
We show that every operator in L2 has an associated measure on a space of functions and prove that it can be used to find solutions to abstract Cauchy problems, including partial differential…
Luis A. Cedeño-Pérez, Hernando QuevedoJun 22, 2024
Learn
Overdamped QNM for Schwarzschild black holes
We prove that the number of quasinormal modes (QNM) for Schwarzschild and Schwarzschild-de Sitter black holes in a disc of radius r is bounded from below by c r3 . This shows that the recent…
Michael Hitrik, Maciej ZworskiJun 22, 2024
Learn
Asymptotics for Some Logistic Maps and the Renormalization Group
We explain the relation between the r=1 logistic map xi+1=rxi(1-xi), xi∈ R, i=0,1,…, r>0 and x0≥0, and the RG flow in the multiscale analysis of zero fixed point,…
P. A. Faria da Veiga, M. O'CarrollJun 22, 2024
Learn
Construction and Accuracy of Electronic Continuum Models of Incommensurate Bilayer 2D Materials
Single-particle continuum models such as the popular Bistritzer-MacDonald model have become powerful tools for predicting electronic phenomena of incommensurate 2D materials and the development of…
Xue Quan, Alex Watson, Daniel MassattJun 22, 2024
Learn
Lieb-Robinson bounds in the continuum via localized frames
We study the dynamics of interacting fermions in the continuum. Our approach uses the concept of lattice-localized frames, which we introduce here. We first prove a Lieb-Robinson bound that is valid…
Sven Bachmann, Giuseppe De NittisJun 21, 2024
Learn
Exact loop densities in O(1) dense loop model on the cylinder of odd circumference and clusters in half-turn self-dual critical percolation
We consider O(1) dense loop model in a square lattice wrapped on a cylinder of odd circumference L and calculate the exact densities of loops. These densities of loops are equal to the densities…
A. M. Povolotsky, A. A. TrofimovaJun 21, 2024
Learn
Effective quantum dynamics for magnetic fermions
We show how to derive an effective nonlinear dynamics, described by the Hartree-Fock equations, for fermionic quantum particles confined to a two-dimensional box and in presence of an external,…
Margherita Ferrero, Domenico MonacoJun 21, 2024
Learn
From Kalman to Einstein and Maxwell: the Structural Controllability Revisited
In the Special Relativity paper of Einstein (1905), only a footnote provides a reference to the conformal group of space-time for the Minkowski metric ω. We prove that General Relativity…
Jean-Francois PommaretJun 21, 2024
Learn
Integrable Z22-graded Extensions of the Liouville and Sinh-Gordon Theories
In this paper we present a general framework to construct integrable Z22-graded extensions of classical, two-dimensional Toda and conformal affine Toda theories. The scheme is applied to…
Naruhiko Aizawa, Ren Ito, Zhanna Kuznetsova et al.Jun 19, 2024
Learn
Uniqueness and CLT for the Ground State of the Disordered Monomer-Dimer Model on Zd
We prove that the disordered monomer-dimer model does not admit infinite volume incongruent ground states in Zd which can be obtained as a limit of finite volume ground states.…
Kesav Krishnan, Gourab RayJun 18, 2024
Learn
← PreviousPage 128Next →